Heating up decision boundaries: isocapacitory saturation, adversarial scenarios and generalization bounds

• Published in: arXiv.org
• Main Authors: Georgiev, Bogdan, Franken, Lukas, Mukherjee, Mayukh
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 15.01.2021
• Subjects: Brownian motion; Cost analysis; Decision theory; Potential theory

In the present work we study classifiers' decision boundaries via Brownian motion processes in ambient data space and associated probabilistic techniques. Intuitively, our ideas correspond to placing a heat source at the decision boundary and observing how effectively the sample points warm up....